Towards a geometric interpretation of generalized fractional integrals — Erdélyi-Kober type integrals on RN, as an example

@article{Herrmann2014TowardsAG,
  title={Towards a geometric interpretation of generalized fractional integrals — Erd{\'e}lyi-Kober type integrals on RN, as an example},
  author={R. Herrmann},
  journal={Fractional Calculus and Applied Analysis},
  year={2014},
  volume={17},
  pages={361-370}
}
  • R. Herrmann
  • Published 2014
  • Mathematics, Physics
  • Fractional Calculus and Applied Analysis
A family of generalized Erdélyi-Kober type fractional integrals is interpreted geometrically as a distortion of the rotationally invariant integral kernel of the Riesz fractional integral in terms of generalized Cassini ovaloids on RN. Based on this geometric point of view, several extensions are discussed. 
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  • In: Lecture Notes in Math. 457 (1975), 37–79 (Proc. Intern. Conf. on Fractional Calculus Held in New Haven, 1974 ), Springer-Verlag, N. York. GigaHedron Berliner Ring 80 D-63303 Dreieich, GERMANY e-mail: herrmann@gigahedron.com Received: December 8, 2013 Please cite to this paper as published in: Fr
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